What is the Greatest Common Factor of 33360 and 33379?

Greatest common factor (GCF) of 33360 and 33379 is 1.

GCF(33360,33379) = 1

We will now calculate the prime factors of 33360 and 33379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33360 and 33379.

How to find the GCF of 33360 and 33379?

We will first find the prime factorization of 33360 and 33379. After we will calculate the factors of 33360 and 33379 and find the biggest common factor number .

Step-1: Prime Factorization of 33360

Prime factors of 33360 are 2, 3, 5, 139. Prime factorization of 33360 in exponential form is:

33360 = 2⁴ × 3¹ × 5¹ × 139¹

Step-2: Prime Factorization of 33379

Prime factors of 33379 are 29, 1151. Prime factorization of 33379 in exponential form is:

33379 = 29¹ × 1151¹

Step-3: Factors of 33360

List of positive integer factors of 33360 that divides 33360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 139, 240, 278, 417, 556, 695, 834, 1112, 1390, 1668, 2085, 2224, 2780, 3336, 4170, 5560, 6672, 8340, 11120, 16680

Step-4: Factors of 33379

List of positive integer factors of 33379 that divides 33360 without a remainder.

1, 29, 1151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33360 and 33379. The biggest common factor number is the GCF number.
So the greatest common factor 33360 and 33379 is 1.

Also check out the Least Common Multiple of 33360 and 33379